Question

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Answer 1

Start with the graph of y = -x^2

You graph the full curve, but then you erase the portion that's to the right of x = 1. This is because you are only graphing y = -x^2 when x < 1

Answer 2

You will have an open circle at the endpoint of y = -x^2 when x = 1

The same will be done with the second piece of y = 2x but when \(\large x \ge 1\)

Answer 3

graph the full line y = 2x

then erase the part thats to the left of x = 1. This is because y = 2x is only graphed when \(\large x \ge 1\)

There will be a closed circle at the endpoint of this piece

Answer 4

you could if you wanted to, yes

Answer 5

pick any number you want

Answer 6

tell me what you pick

Answer 7

which inequality does that satisfy

x < 1

OR

\(\large x \ge 1\)

Answer 8

so we plug x = 1 into the second piece, since x = 1 satisfies the second inequality

Answer 9

y = 2x

y = 2*1

y = 2

Answer 10

You'll have a row of: 1 2
in the table

Answer 11

pick another number

Answer 12

which inequality does it satisfy now?

Answer 13

so you plug that into the first piece

y = -x^2

y = -(0)^2

y = 0

you'll have the row: 0 0

Answer 14

let's say you picked -3

that satisfies the first inequality, so,

y = -x^2

y = -(-3)^2

y = -9

giving you the row: -3 -9

Answer 15

you can keep repeating these steps until your table is as big as you want

Answer 16

you're welcome